Probability Density Function Flashcards
(11 cards)
1
Q
PDF stands for what and its symbol
A
Probability density function.
f(x)
2
Q
CDF stand for what and its symbol
A
Cumulative distribution function.
F(x)
3
Q
y=x²
Write -2<x<2 in terms of y
A
0≤y<4
4
Q
Given
Y=X² and -2<x<2
Rewrite
P( Y<y ) for getting G(y)
A
G(y)
=P(X²<y)
=P(-√y< x < √y)
=F(√y)-F(-√y)
5
Q
Two independent observations of X are taken.
Write the symbols to represent the probability that one is less than ½ and the other is greater than 2.
A
P(X<½)•P(X>2)
6
Q
Given
f(x)={
4k ; 0≤x<1
k(x-3)² ; 1<x≤3
0 ; otherwise
}
What’s the solving process
A
1=F(3)
This is it
7
Q
Can pdf be be negative
A
No
8
Q
What’s sum of the area under pdf
A
1
9
Q
Pdf graph can have negative gradient.
Crv graph cannot have negative gradient. Why?
A
You know why
10
Q
Given E(X)
How to find E(aX+B)
A
E(aX+B)=
a.E(X)+b
11
Q
Var(X)=
A
E(X²)-[ E(X) ]²
